Quantized spacetime is a concept that suggests that space and time themselves are fundamentally discrete at a very small scale, similar to how particles are quantized in quantum mechanics. This idea arises in some approaches to quantum gravity, such as loop quantum gravity and certain versions of string theory.
The graviton, on the other hand, is a hypothetical particle that is believed to mediate the force of gravity in a quantum theory of gravity. In other words, it is the quantum particle associated with the gravitational field.
Quantizing spacetime and understanding the nature of the graviton are both active areas of research in theoretical physics. While quantized spacetime may provide insights into the fundamental structure of space and time, it does not necessarily solve the problem of the graviton on its own. The existence and properties of the graviton are intimately connected to the development of a consistent theory of quantum gravity, which is still an open challenge in physics.
The quest for a complete theory of quantum gravity is a complex and ongoing endeavor, and various approaches and ideas are being explored. It is possible that a deeper understanding of the nature of spacetime and its quantization may eventually shed light on the properties of the graviton, but at present, the full resolution of the graviton remains an active area of research and is yet to be achieved.